Question

ij is a radius of the circle. the circumference of the circle is 123.08. find the length of ij, rounding to the nearest tenth.

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.

Step2: Solve for the radius \(r\)

We are given that \(C=123.08\). Substitute \(C\) into the formula: \(123.08 = 2\pi r\).
Since \(\pi\approx3.14\), we have \(123.08 = 2\times3.14\times r\).
First, calculate \(2\times3.14 = 6.28\). Then the equation becomes \(123.08=6.28r\).
To find \(r\), divide both sides by \(6.28\): \(r=\frac{123.08}{6.28}\).
\(r = 19.6\) (rounded to the nearest tenth).

Answer:

19.6